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1. I created a short page for chord diagram, and also added a bit of relevant information to Vassiliev invariant.

• CommentRowNumber2.
• CommentAuthorRichard Williamson
• CommentTimeSep 10th 2018
• (edited Sep 10th 2018)
• CommentRowNumber3.
• CommentAuthorRichard Williamson
• CommentTimeSep 10th 2018
• (edited Sep 10th 2018)

Fixed the diagrams now, hopefully. [Edit: there is something strange going on which causes the diagrams not to render correctly after an edit, but to render correctly after I re-render manually. I will look into it when I get the chance, probably this evening.]

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeNov 20th 2019
• (edited Nov 20th 2019)

Discussion of chord diagrams encoding SYK model correlators as representing hyperbolic/holographic content:

• {#BINT18} Micha Berkooz, Mikhail Isachenkov, Vladimir Narovlansky, Genis Torrents, Section 5 of: Towards a full solution of the large $N$ double-scaled SYK model, JHEP 03 (2019) 079 (arxiv:1811.02584)

• {#Narovlansky19} Vladimir Narovlansky, Slide 23 (of 28) of: Towards a Solution of Large $N$ Double-Scaled SYK, Nazareth 2019 (pdf, NarovlanskySYK19.pdf:file)

following

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeNov 24th 2019

In a new Properties section Relation to Chern-Simns diagrams I added pointer to chord diagrams modulo 4T are Chern-Simons diagrams modulo STU.

No other text yet. To be expanded. But not tonight.

• CommentRowNumber6.
• CommentAuthorUrs
• CommentTimeNov 29th 2019

I have replaced the graphics illustrating a typical chord diagram (first graphics in the entry) with a new one (here) that may be a little more informative

• CommentRowNumber7.
• CommentAuthorUrs
• CommentTimeNov 29th 2019

made explicit the definition of $\mathcal{A}^c$ (here)

• CommentRowNumber8.
• CommentAuthorUrs
• CommentTimeApr 29th 2020

• CommentRowNumber9.
• CommentAuthorUrs
• CommentTimeOct 14th 2020

• Ali Assem Mahmoud, Karen Yeats, Connected Chord Diagrams and the Combinatorics of Asymptotic Expansions (arXiv:2010.06550)
• CommentRowNumber10.
• CommentAuthorUrs
• CommentTimeApr 23rd 2021

added pointer to these two, which might be close to the earliest appearance of the concept of chord diagrams (?):

• CommentRowNumber11.
• CommentAuthorUrs
• CommentTimeMay 4th 2021
• (edited May 4th 2021)

there is an evident general encoding of hyperbolic tesselations by round chord diagrams.

It should be possible to obtain the round chord diagram for an $\{n,k\}$ tesselation at some finite stage by starting with a suitable horizontal chord diagram on $n-1$ strands, then iteratively “cabling” it into itself and forming vertical composites of that with itself, and finally taking the trace to a round chord diagram with a cyclic permutation.